Resonance condition energy splitting

From Eq. (2-8), the Zeeman splitting is equal to the energy of an applied microwave (/id) in the resonance condition of ESR. Thus, the ration can be given as... 

For the alkali-like ions the conditions concerning the Stark shift are slightly less favourable. The metastable J = 5/2 level is split into three components by the electric field. Since the energy levels lie energetically closer together, the polarisabilites are higher. A measurement has been performed in the case of Ba+ and shifts of the three components of the S 1/2 — >5/2 resonance between 6 mHz/(V/cm)2 and 12 mHz/(V/cm)2 have been found [4],... 

If the energies of Frenkel and Wannier-Mott excitons are in resonance the size of the hybrid state is comparable with that for Wannier-Mott excitons, i.e. it is much larger than the radius of Frenkel excitons. In this case we can expect that the saturation concentration of excitons in hybrid structure will be of the same order as in a semiconductor quantum wire. Outside the resonance range, the coupling is governed by the parameter T2/(Ep — Ew) and is rather small. The condition of resonance is rather strict for the considered range of parameters and requires a careful choice of materials for both wires. And, naturally, the exciton linewidths should be small compared to 2Y. For these parameters these linewidths have to be smaller than the resonant splitting 2T 11 meV of the hybrid excitations. 

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